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Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs

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  • Zhangyou Chen
  • Zhe Chen

Abstract

We consider a class of nonsmooth generalized semi-infinite programming problems. We apply results from parametric optimization to the lower level problems of generalized semi-infinite programming problems to get estimates for the value functions of the lower level problems and thus derive necessary optimality conditions for generalized semi-infinite programming problems. We also derive some new estimates for the value functions of the lower level problems in terms of generalized differentiation and further obtain the necessary optimality conditions.

Suggested Citation

  • Zhangyou Chen & Zhe Chen, 2013. "Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, September.
    • Handle: RePEc:hin:jnlaaa:131938
    DOI: 10.1155/2013/131938
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